Median, Altitude & Perpendicular Bisector Identification

Front

What is the definition of a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is the definition of an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the definition of a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the point of concurrency of the medians of a triangle called?

Back

The point of concurrency of the medians is called the centroid.

Front

What is the point of concurrency of the altitudes of a triangle called?

Back

The point of concurrency of the altitudes is called the orthocenter.

Front

What is the point of concurrency of the perpendicular bisectors of a triangle called?

Back

The point of concurrency of the perpendicular bisectors is called the circumcenter.

Front

How do you identify an altitude in a triangle?

Back

An altitude can be identified as the segment that forms a right angle with the base from a vertex.

Front

How do you identify a median in a triangle?

Back

A median can be identified as the segment that connects a vertex to the midpoint of the opposite side.

Front

How do you identify a perpendicular bisector in a triangle?

Back

A perpendicular bisector can be identified as the line that cuts a side in half at a right angle.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.